Correlation between x & y is 0.6125.
In probability theory and statistics, the cumulative distribution function of a real-valued random variable X, or simply the distribution function of X weighted by x, is the probability that X takes a value less than or equal to x.
The cumulative distribution function (CDF) of a random variable X is defined as FX(x)=P(X≤x) for all x∈R. Note that the subscript X indicates that this is the CDF of the random variable X. Also note that the CDF is defined for all x∈R. Let's look at an example.
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A system of linear equations can have no solution, a unique solution or infinitely many solutions. A system has no solution if the equations are inconsistent, they are contradictory. for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system.
This is in my opinion. Im not sure if it is correct or not but Good luck!
Answer:
x = 1± 3i
Step-by-step explanation:
x^2-2x+10=0
We can complete the square to solve by subtracting 10 from each side
x^2-2x+10-10=-10
x^2 -2x = -10
We need to add (2/2) ^2 to each side or 1
x^2 -2x+1 = -10 +1
x^2 -2x+1 = -9
The left side factors into (x- (2/2) ) ^2
(x-1) ^2 = -9
Take the square root of each side
sqrt((x-1) ^2 =± sqrt(-9)
x-1 = ±sqrt(-1) sqrt(3)
Remember the sqrt(-1) = i
x-1 = ± 3i
Add 1 to each side
x-1+1 = 1± 3i
x = 1± 3i
Answer:
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Step-by-step explanation:
The coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)
<h3>How to determine the coordinates?</h3>
The given parameters are given as:
- Slope, m = 2/3
- y-intercept, c = -5
The equation is represented as:
y = mx + c
So, we have:
y = 2/3x -5
When x = 0, we have;
y = 2/3 * 0 -5 = -5
When x = 3, we have;
y = 2/3 * 3 -5 = -3
When x = 6, we have;
y = 2/3 * 6 -5 = -1
When x = 9, we have;
y = 2/3 * 9 -5 = 1
Hence, the coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)
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